2008/08/31 by Ferenc Iglói, F. Igloi, L Turban +1 · 4 citations
Materials Science · Mathematics · Physics and Astronomy · #Aperiodic graph #Bethe lattice #Combinatorics #Condensed matter physics #Critical exponent #Ising model #Lattice (music) #Mathematics #Phase transition #Physics #Quantum #Quantum many-body systems #Quantum mechanics #Quasicrystal Structures and Properties #Statistical physics #Theoretical and Computational Physics #cond-mat.stat-mech
paper · pdf · doi:10.1103/physreve.78.031128
published in Physical Review E 78(3), 031128 (American Physical Society) · 7 pages, 3 figures, minor corrections
openalex publication_date 2008/09/19 · arxiv created 2008/09/23 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We consider the Ising model on the Bethe lattice with aperiodic modulation of the couplings, which has been studied numerically in Phys. Rev. E 77, 041113 (2008). Here we present a relevance-irrelevance criterion and solve the critical behavior exactly for marginal aperiodic sequences. We present analytical formulas for the continuously varying critical exponents and discuss a relationship with the (surface) critical behavior of the aperiodic quantum Ising chain.